Base | Representation |
---|---|
bin | 111010100001… |
… | …100111100000 |
3 | 1001212110100000 |
4 | 322201213200 |
5 | 12411421143 |
6 | 1304500000 |
7 | 244256001 |
oct | 72414740 |
9 | 31773300 |
10 | 15342048 |
11 | 8729787 |
12 | 517a600 |
13 | 3242247 |
14 | 20751a8 |
15 | 1530bd3 |
hex | ea19e0 |
15342048 has 72 divisors (see below), whose sum is σ = 45267768. Its totient is φ = 5111424.
The previous prime is 15342043. The next prime is 15342059. The reversal of 15342048 is 84024351.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (15342043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6790 + ... + 8762.
It is an arithmetic number, because the mean of its divisors is an integer number (628719).
Almost surely, 215342048 is an apocalyptic number.
15342048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 15342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22633884).
15342048 is an abundant number, since it is smaller than the sum of its proper divisors (29925720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15342048 is an equidigital number, since it uses as much as digits as its factorization.
15342048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1998 (or 1978 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 15342048 is about 3916.8926459631. The cubic root of 15342048 is about 248.4817206440.
Adding to 15342048 its reverse (84024351), we get a palindrome (99366399).
The spelling of 15342048 in words is "fifteen million, three hundred forty-two thousand, forty-eight".
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